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Finding the Fourth Proportional to 524,469, 723,831.22 and 295,035.90

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Solution

The fourth proportional to 524,469, 723,831.22 and 295,035.90 is: 407,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,469 : 723,831.22 = 295,035.90 : x
  2. Step 2: Convert to fraction form
    524,469/723,831.22 = 295,035.90/x
  3. Step 3: Cross multiply
    524,469x = 723,831.22 × 295,035.90
  4. Step 4: Simplify right side
    524,469x = 213,556,195,440.80
  5. Step 5: Solve for x
    x = 213,556,195,440.80/524,469
  6. Step 6: Final answer
    x = 407,185.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.